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1
Philosophical Theories
of Probability
Principle of Indifference leads to contradictions. The wine–water paradox is a
simple example of this, for if we set θ = wine/water then the paradox is generated
by considering φ = f(θ) = 1/θ. This concludes my account of the paradoxes of the
...
2
Induction, Physics and Ethics
J. M. Keynes translated this as the principle of insufficient reason and wisely
restyled it the principle of indifference, [10, p. 41]. But for all this felicity in naming,
no one ever achieved a consistent explication. Thanks to Carnap, we now know ...
P. Weingartner, G. Zecha, 1970
3
E.T. Jaynes: Papers on Probability, Statistics, and ...
The dilemma is thus apparent; on the one hand, one cannot deny the force of
arguments which, by pointing to such things as Bertrand's paradox, demonstrate
the ambiguities and dangers in the principle of indifference. But on the other
hand, ...
Edwin T. Jaynes, R.D. Rosenkrantz, 1989
4
Evidence and Evolution: The Logic Behind the Science
Although frequency data and a well-supported empirical theory can provide a
basis for assigning prior probabilities, the principle of indifference cannot. This
idea used to be a cornerstone of Bayesianism, but it is rare for contemporary ...
5
The Philosophy
of Science
At this point, it is important to ask, In what sense are Carnap's theories of logical
probability (especially his later ones) logical? His early theories (based on the
measure functions m{ and m*) applied something like the principle of indifference
to ...
6
An Objective Theory
of Probability (Routledge Revivals)
This a priori principle is called by Keynes the Principle of Indifference. The name
is original to him but the principle itself, he says, was introduced by James
Bernoulli under the name of the Principle of NonSufficient Season. Keynes gives
the ...
7
Philosophy
of Mathematics
John Maynard Keynes surveyed several purported examples of language
dependence in his discussion of Laplace's Principle of Indifference ([Keynes,
1921]). This latter principle advocates assigning the same probability to each of a
number ...
8
The MIT Encyclopedia
of the Cognitive Sciences
However, before any specific evidence has been incorporated in Bayesian
inference, a prior probability distribution must be given over the propositions of
interest. In 1812, Pierre Simon Laplace proposed using the "principle of
indifference" to ...
Robert Andrew Wilson, Frank C. Keil, 2001
9
A Theory
of Physical Probability
This latest theorem bears more than a passing resemblance to Keynes's
Principle of Indifference, and its predecessors. This should be a cause for
concern since, while many issues in the foundations of probability are disputed,
there is an ...
10
Info-Gap Decision Theory: Decisions Under Severe Uncertainty
We use two riddles to illustrate the perils of indiscriminately adopting the
Principle of Indifference and assuming that ignorance can, always, be modelled
probabilistically. Keynes' uncertain density. The merits of the principle in question
have ...
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Richard Dawkins is Wrong About Death
Indeed, he seems to adopt something akin to the principle of indifference when it comes to assessing the probability members of that set. Is this ... «h+ Magazine, 9월 14»
Conservation of Information Made Simple
... isomorphic), the principle of indifference applies to these machines and prescribes that the probability of getting the machine that delivers ... «Discovery Institute, 8월 12»
The Cathedral of Learning
... who helped me understand how to augment the principle of indifference with conditionalizing over the past hypothesis, and Bryan Roberts of ... «Discover Magazine, 2월 09»
